{"id":2082,"date":"2017-10-03T15:36:27","date_gmt":"2017-10-03T15:36:27","guid":{"rendered":"http:\/\/arcades-network.eu\/?page_id=2082"},"modified":"2017-11-27T20:47:26","modified_gmt":"2017-11-27T20:47:26","slug":"clement-laroche-esr1","status":"publish","type":"page","link":"http:\/\/arcades-network.eu\/index.php\/clement-laroche-esr1\/","title":{"rendered":"Clement Laroche (ESR1)"},"content":{"rendered":"

\"\"
\nEducation:<\/strong>
\n2016: Master’s degree in Mathematics for research
\n2014: AGREG of Mathematics
\n2013: Master’s degree in Mathematics & CAPES of Mathematics
\n2012: English CLES2 certificate
\n2011: Bachelor’s degree in Fundamental Mathematics<\/p>\n

Research activities: <\/strong>
\n2016: Research paper Extending a Morse function on a non-orientable 3-manifold,
\n2014-15: Teaching in middle school for the french \u00c9ducation Nationale,
\n2012: Training course at the Institut de M\u00e9canique des Fluides of Toulouse.<\/p>\n


<\/p>\n

Project: Compact and efficient implicit representations.<\/h4>\n

Supervisor:<\/strong> Ioannis Emiris<\/a><\/p>\n

Institution:<\/strong> ATHENA Research and Innovation Center, Greece <\/p>\n

We design algorithms and develop implementations for powerful implicit representations, and methods to obtain them from other representations. Sparse implicitisation reduces geometric operations on curves and (hyper)surfaces to manipulating an interpolation matrix. The method relies on a point sample on the object, given in two alternative representations:
\nParameterised\u00a0objects:<\/em> Sparse implicitisation by interpolation has been studied in a series of articles by the supervisor and his team, e.g. [1<\/a>,2<\/a>]. This PhD advances the state-of-the-art in one or more of the following ways: (i) numerically improve the definition of the implicit equation, (ii) handle objects of\u00a0higher codimension, namely space curves, (iii) exploit information about the normals to the curve\/surface. In collaboration with SINTEF (and INRIA) we juxtapose the method to other approaches, including those developed in ESR4, ESR8.
\nPoint clouds:<\/em> Modern technology, such as scanners, is increasingly leading CAD developers to represent objects as point clouds, which offer flexibility for web applications. RISC-Software (also Missler) studies point samples defining solids swept\u00a0along a path, and the resulting triangular mesh. Our goal is to reconstruct approximate boundary\u00a0surfaces by point sampling with feature-aware distribution, segmenting the mesh to a graph of implicit, low-degree patches based on surface fitting, and recovering geometric features\u00a0like edges or corners, for NC tool verification (cf. ESR2).<\/p>\n

The project will take place at ATHENA RC under at the ErGA Lab<\/a>. The PhD will be awarded by the Dept. of Informatics and Telecoms of the University of Athens.<\/p>\n

Secondments<\/strong> are planned at\u00a0SINTEF (Oslo, Norway) and at industrial partner RISC-Software (Linz, Austria).<\/p>\n

Publications<\/h4>\n
    \n
  • I.Z. Emiris, C. Konaxis, I.S. Kotsireas, and C. Laroche. 2017. Matrix Representations by Means of Interpolation. In Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation (ISSAC ’17), Michael Burr (Ed.). ACM, New York, NY, USA, 149-156. DOI: https:\/\/doi.org\/10.1145\/3087604.3087629<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

    Education: 2016: Master’s degree in Mathematics for research 2014: AGREG of Mathematics 2013: Master’s degree in Mathematics & CAPES of Mathematics 2012: English CLES2 certificate 2011: Bachelor’s degree in Fundamental Mathematics Research activities: 2016: Research paper Extending a Morse function on a non-orientable 3-manifold, 2014-15: Teaching in middle school for the french \u00c9ducation Nationale, 2012: […]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/arcades-network.eu\/index.php\/wp-json\/wp\/v2\/pages\/2082"}],"collection":[{"href":"http:\/\/arcades-network.eu\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/arcades-network.eu\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/arcades-network.eu\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"http:\/\/arcades-network.eu\/index.php\/wp-json\/wp\/v2\/comments?post=2082"}],"version-history":[{"count":5,"href":"http:\/\/arcades-network.eu\/index.php\/wp-json\/wp\/v2\/pages\/2082\/revisions"}],"predecessor-version":[{"id":2326,"href":"http:\/\/arcades-network.eu\/index.php\/wp-json\/wp\/v2\/pages\/2082\/revisions\/2326"}],"wp:attachment":[{"href":"http:\/\/arcades-network.eu\/index.php\/wp-json\/wp\/v2\/media?parent=2082"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}